In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
BENOIT MANDELBROTThe techniques I developed for studying turbulence, like weather, also apply to the stock market
More Benoit Mandelbrot Quotes
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If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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There are very complex shapes which would be the same from close by and far away.
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Think not of what you see, but what it took to produce what you see.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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The Mandelbrot set is the most complex mathematical object known to mankind.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
BENOIT MANDELBROT